@Jacob Rathbun, Thanks for posting in Q&A. From your description, I know you want the setting to block just Screen Recording but not Screenshots. But in Intune, we don't find the setting. If there's any misunderstanding, feel free to let us know.
In fact, for the setting in Intune, it is developed based on the APIs which are provided by Apple MDM. Based on my researching, I find there's no such setting provided by Apple MDM. It only has the setting to block both. Therefore, there's no such setting in Intune.
https://support.apple.com/en-sg/guide/deployment/dep0f7dd3d8/web
Note: Non-Microsoft link, just for the reference.
You can feedback to Apple MDM to see if they can add this feature in the future.
Thanks for your understanding.
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